18 research outputs found
Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity
We study the Gross-Pitaevskii equation involving a nonlocal interaction
potential. Our aim is to give sufficient conditions that cover a variety of
nonlocal interactions such that the associated Cauchy problem is globally
well-posed with non-zero boundary condition at infinity, in any dimension. We
focus on even potentials that are positive definite or positive tempered
distributions.Comment: Communications in Partial Differential Equations (2010